The one-loop correction of order \({\mathcal {O}}(m_q^{1/2})\)  to baryon magnetic moments arising from Fig. REF  can be expressed as [1]}
\(\delta M_{\mathrm {loop\, 1}}^k = \sum _{\textsf {j}} \epsilon ^{ijk} A^{ia} \mathcal {P}_{\textsf {j}} A^{jb} \Gamma ^{ab}(\Delta _{\textsf {j}}). \) 
